GEOM MODUL FORM & ELLIP CURVE, 2 ED

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The book delves into the theory of moduli spaces of elliptic curves and their applications to modular forms, detailing the construction of Galois representations crucial to Wiles' proof of the Shimura Taniyama conjecture. The second edition enhances the content with a thorough exploration of Barsotti Tate groups and includes a practical overview of formal deformation theory of elliptic curves. Additionally, it presents new results on Ribet's theorem and a glimpse into contemporary research in Number Theory, particularly regarding modularity theory of abelian varieties and curves.